A model of uni ed quantum chromodynamics and Yang-Mills gravity

  • Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging T(4)×[SU(3)]color in flat space-time, we have a unified model of chromo-gravity with a new tensor gauge field, which couples universally to all gluons, quarks and anti-quarks. The space-time translational gauge symmetry assures that all wave equations of quarks and gluons reduce to a Hamilton-Jacobi equation with the same effective Riemann metric tensors' in the geometric-optics (or classical) limit. The emergence of effective metric tensors in the classical limit is essential for the unified model to agree with experiments. The unified model suggests that all gravitational, strong and electroweak interactions appear to be dictated by gauge symmetries in the generalized Yang-Mills framework.
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HSU Jong-Ping. A model of uni ed quantum chromodynamics and Yang-Mills gravity[J]. Chinese Physics C, 2012, 36(5): 403-409. doi: 10.1088/1674-1137/36/5/005
HSU Jong-Ping. A model of uni ed quantum chromodynamics and Yang-Mills gravity[J]. Chinese Physics C, 2012, 36(5): 403-409.  doi: 10.1088/1674-1137/36/5/005 shu
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Received: 2011-06-20
Revised: 2012-01-05
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A model of uni ed quantum chromodynamics and Yang-Mills gravity

  • Department of Physics, University of Massachusetts Dartmouth North Dartmouth, MA 02747-2300, USA

Abstract: Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging T(4)×[SU(3)]color in flat space-time, we have a unified model of chromo-gravity with a new tensor gauge field, which couples universally to all gluons, quarks and anti-quarks. The space-time translational gauge symmetry assures that all wave equations of quarks and gluons reduce to a Hamilton-Jacobi equation with the same effective Riemann metric tensors' in the geometric-optics (or classical) limit. The emergence of effective metric tensors in the classical limit is essential for the unified model to agree with experiments. The unified model suggests that all gravitational, strong and electroweak interactions appear to be dictated by gauge symmetries in the generalized Yang-Mills framework.

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